A non-abelian spin-liquid in a spin-1 quantum magnet

TL;DR

This paper investigates a novel non-abelian spin-liquid state in a spin-1 quantum magnet, revealing its unique properties, phase transition characteristics, and limitations of standard theoretical constructions.

Contribution

It introduces a non-abelian spin-liquid in an SU(2) symmetric spin-1 system and demonstrates its non-trivial origin beyond conventional projective constructions.

Findings

Identifies a time-reversal invariant non-abelian spin-liquid state.

Shows the phase transition cannot be described by Landau-Ginzburg-Wilson theory.

Highlights the limitations of standard projective constructions for this state.

Abstract

We study a time-reversal invariant non-abelian spin-liquid state in an $SU (2)$ symmetric spin $S = 1$ quantum magnet on a triangular lattice. The spin-liquid is obtained by quantum disordering a non-collinear nematic state. We show that such a spin-liquid cannot be obtained by the standard projective construction for spin-liquids. We also study phase transition between the spin-liquid and the non-collinear nematic state and show that it cannot be described within Landau-Ginzburg- Wilson paradigm.